## Advances in Differential Equations

- Adv. Differential Equations
- Volume 9, Number 5-6 (2004), 539-562.

### Existence of the nontopological condensate in self-dual Chern-Simons gauge theory

Takashi Suzuki and Futoshi Takahashi

#### Abstract

This note is concerned with the recent paper, "Non-topological N-vortex condensates for the self-dual Chern-Simons theory" by M. Nolasco. Making modifications to her arguments, we show that the existence of "nontopological" multivortex condensates actually follows with any prescribed vortex points.

#### Article information

**Source**

Adv. Differential Equations, Volume 9, Number 5-6 (2004), 539-562.

**Dates**

First available in Project Euclid: 18 December 2012

**Permanent link to this document**

https://projecteuclid.org/euclid.ade/1355867935

**Mathematical Reviews number (MathSciNet)**

MR2099971

**Zentralblatt MATH identifier**

1220.35054

**Subjects**

Primary: 35J60: Nonlinear elliptic equations

Secondary: 35Q40: PDEs in connection with quantum mechanics 58E15: Application to extremal problems in several variables; Yang-Mills functionals [See also 81T13], etc.

#### Citation

Suzuki, Takashi; Takahashi, Futoshi. Existence of the nontopological condensate in self-dual Chern-Simons gauge theory. Adv. Differential Equations 9 (2004), no. 5-6, 539--562. https://projecteuclid.org/euclid.ade/1355867935